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Finding the Fourth Proportional to 12,735.72, 17,560.08 and 8,257.86

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Solution

The fourth proportional to 12,735.72, 17,560.08 and 8,257.86 is: 11,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.72 : 17,560.08 = 8,257.86 : x
  2. Step 2: Convert to fraction form
    12,735.72/17,560.08 = 8,257.86/x
  3. Step 3: Cross multiply
    12,735.72x = 17,560.08 × 8,257.86
  4. Step 4: Simplify right side
    12,735.72x = 145,008,682.23
  5. Step 5: Solve for x
    x = 145,008,682.23/12,735.72
  6. Step 6: Final answer
    x = 11,385.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.